References
- Diethelm K. The analysis of fractional differential equation. Heidelberg: Springer; 2010.
- Hilfer R. Applications of fractional calculus in physics. Singapore: World Scientific; 2000.
- Kilbas AA, Srivastava HM, Trujillo JJ. Theory and applications of fractional differential equations. Amsterdam: Elsevier Science; 2006.
- Oldham KB, Spanier J. The fractional calculus. New York (NY): Academic Press; 1974.
- Podlubny I. Fractional differential equations. Vol. 198, Mathematics in science and engineering. New York (NY): Academic Press; 1999.
- Bai C. Infinitely many solutions for a perturbed nonlinear fractional boundary-value problem. Electron. J. Differ. Equ. 2013;2013:1–12.
- Bai Z, Qiu T. Existence of positive solution for singular fractional differential equation. Appl. Math. Comput. 2009;215:2761–2767.
- Chen J, Tang XH. Existence and multiplicity of solutions for some fractional boundary value problem via critical point theory. Abstr. Appl. Anal. 2012;2012:1–21.
- Galewski M, Molica Bisci G. Existence results for one-dimensional fractional equations. Math. Meth. Appl. Sci. 2016;39:1480–1492.
- Graef JR, Kong L, Yang B. Positive solutions for a semipositone fractional boundary value problem with a forcing term. Fract. Calc. Appl. Anal. 2012;15:8–24.
- Heidarkhani S. Infinitely many solutions for nonlinear perturbed fractional boundary value problems. Ann. Univ. Craiova Math. Comput. Sci. Seri. 2014;41:88–103.
- Heidarkhani S. Multiple solutions for a nonlinear perturbed fractional boundary value problem. Dynamic. Sys. Appl. 2014;23:317–331.
- Jing WX, Huang X, Guo W, Zhang Q. The existence of positive solutions for the singular fractional differential equation. Appl. Math. Comput. 2013;41:171–182.
- Kong L. Existence of solutions to boundary value problems arising from the fractional advection dispersion equation. Electron. J. Differ. Equ. 2013;2013:1–15.
- Molica Bisci G. Fractional equations with bounded primitive. Appl. Math. Lett. 2014;27:53–58.
- Molica Bisci G, Rădulescu V. Ground state solutions of scalar field fractional Schrödinger equations. Calc. Var. 2015;54:2985–3008.
- Molica Bisci G, Rădulescu V. Multiplicity results for elliptic fractional equations with subcritical term. Nonlinear Differ. Equ. Appl. 2015;22:721–739.
- Molica Bisci G, Servadei R. A bifurcation result for non-local fractional equations. Anal. Appl. 2015;13:371–394.
- Zhang X, Liu L, Wu Y. Variational structure and multiple solutions for a fractional advection-dispersion equation. Comput. Math. Appl. 2014;68:1794–1805.
- Ahmad B, Graef JR. Coupled systems of nonlinear fractional differential equations with nonlocal boundary conditions. PanAmer. Math. J. 2009;19:29–39.
- Bai C, Fang J. The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations. Appl. Math. Comput. 2004;150:611–621.
- Su X. Boundary value problem for a coupled system of nonlinear fractional differential equations. Appl. Math. Lett. 2009;22:64–69.
- Sun S, Li Q, Li Y. Existence and uniqueness of solutions for a coupled system of multi-term nonlinear fractional differential equations. Comput. Math. Appl. 2012;64:3310–3320.
- Zhang Y, Bai Z, Feng T. Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance. Comput. Math. Appl. 2011;61:1032–1047.
- Zhao Y, Chen H, Qin B. Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods. Appl. Math. Comput. 2015;257:417–427.
- Zhao Y, Chen H, Zhang Q. Infinitely many solutions for fractional differential system via variational method. J. Appl. Math. Comput. 2016;50:589–609.
- Heidarkhani S, Zhou Y, Caristi G, et al. Existence results for fractional differential systems through a local minimization principle. Comput. Math. Appl., 2016. http://dx.doi.org/10.1016/j.camwa.2016.04.012.
- Ahmad B, Nieto JJ. A study of impulsive fractional differential inclusion with anti-periodic boundary conditions. Fract. Differ. Calc. 2012;2:1–15.
- Anguraj A, Latha Maheswari M. Existence of solutions for fractional impulsive neutral functional infinite delay integrodifferential equations with nonlocal conditions. J. Nonlinear Sci. Appl. 2012;5:271–280.
- Bai C. Impulsive periodic boundary value problems for fractional differential equation involving Riemann-Liouville sequential fractional derivative. J. Math. Anal. Appl. 2011;384:211–231.
- Bai C. Solvability of multi-point boundary value problem of nonlinear impulsive fractional differential equation at resonance. Electron. J. Qual. Theory Differ. Equ. 2011;89:1–19.
- Bonanno G, Rodríguez-López R, Tersian S. Existence of solutions to boundary-value problem for impulsive fractional differential equations. Fract. Calc. Appl. Anal. 2014;17:717–744.
- Gao Z, Yang L, Liu G. Existence and uniqueness of solutions to impulsive fractional integro-differential equations with nonlocal conditions. Appl. Math. 2013;4:859–863.
- Heidarkhani S, Salari A. Nontrivial solutions for impulsive fractional differential systems through variational methods. Comput. Math. Appl. 2016. http://dx.doi.org/10.1016/j.camwa.2016.04.016.
- Ke TD, Lan D. Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces. Fract. Calc. Appl. Anal. 2014;17:96–121.
- Bonanno G, Molica Bisci G. Infinitely many solutions for a boundary value problem with discontinuous nonlinearities. Bound. Value Prob. 2009;2009:1–20.
- Ricceri B. A general variational principle and some of its applications. J. Comput. Appl. Math. 2000;113:401–410.
- Bonanno G, Molica Bisci G. A remark on perturbed elliptic Neumann problems. Vol. LV, (4), Studia university “Babeş-Bolyai", mathematica. December 2010.
- D’Aguì G, Heidarkhani S, Sciammetta A. Infinitely many solutions for a class of quasilinear two-point boundary value systems. Electron. J. Qual. Theory Differ. Equ. 2015;8:1–15.
- Graef JR, Heidarkhani S, Kong L. Infinitely many solutions for systems of multi-point boundary value equations. Topol. Meth. Nonlinear Anal. 2013;42:105–118.
- Heidarkhani S. Infinitely many solutions for systems of n two-point boundary value Kirchhoff-type problems. Ann. Polon. Math. 2013;107:133–152.
- Heidarkhani S, Ferrara M, Salari A. Infinitely many periodic solutions for a class of perturbed second-order differential equations with impulses. Acta. Appl. Math. 2015;139:81–94.
- Heidarkhani S, Henderson J. Infinitely many solutions for nonlocal elliptic systems of (p1..., pn)-Kirchhoff type. Electron. J. Differ. Equ. 2012;1–15.
- Bonanno G, Di Bella B. Infinitely many solutions for a fourth-order elastic beam equation. Nonlinear Differ. Equ. Appl. 2011;18:357–368.
- Jiao F, Zhou Y. Existence of solutions for a class of fractional boundary value problems via critical point theory. Comput. Math. Appl. 2011;62:1181–1199.
- Jiao F, Zhou Y. Existence results for fractional boundary value problem via critical point theory. Inter. J. Bifurcat. Chaos. 2012;22:1250086.